Find the Value Using the Unit Circle cot(pi)

Problem

cot(π)

Solution

1. Identify the coordinates on the unit circle for the angle π radians.

2. Determine the point (x,y) at π radians, which is (−1,0)

3. Apply the formula for the cotangent function in terms of x and y which is cot(θ)=x/y

4. Substitute the values x=−1 and y=0 into the formula.

5. Evaluate the expression (−1)/0 noting that division by zero is undefined.

Final Answer

cot(π)=undefined

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